Maatriksiülesannete lahendamise õpikeskkonna loomine
Date
2016
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Abstract
Käesoleva lõputöö raames luuakse lineaaralgebra ülesannete, täpsemalt\n\rmaatriksiülesannete lahendamise õppimist abistav veebikeskkond. See, eelkõige üliõpilastele mõeldud rakendus, on kõigile kättesaadav ega vaja mingit sisselogimist. Rakendus sisaldab endas ülesandekogu ja elementaarteisenduste rakendajat. Toetatud on järgneva nelja ülesandetüübi\n\rlahendamine, millest igaühe saab taandada elementaarteisenduste järjest rakendamisele: determinandi leidmine, pöördmaatriksi leidmine, lineaarvõrrandisüsteemi üldlahendi leidmine ja maatriksi astaku leidmine. Lahendaja peab endiselt otsustama, kuidas elementaarteisendusi\n\rkasutades saada maatriks ülesandes nõutud kujule, kuid teisenduse rakendamine ehk maatriksi sisu (antud juhul arvude) algoritmiline töötlemine ei ole lahendaja poolt vajalik.
This thesis involves the development of a web application for solving linear algebra\n\rexercises, more precisely matrix problems. This student-focused web-app is accessible for anyone\n\rto use with no log in required. It includes a collection of matrix problems and an elementary\n\rtransformation applying tool. The following four problem types are supported: finding a\n\rdeterminant, finding an inverse matrix, solving a system of linear equations and finding a rank. The\n\rsolver must still decide, using a series of elementary transformations, how to reach a proper form\n\rfor given matrix. However applying the elementary transformation, by algorithmically micromanaging\n\rthe contents of a matrix (in this case, numbers) is not required.
This thesis involves the development of a web application for solving linear algebra\n\rexercises, more precisely matrix problems. This student-focused web-app is accessible for anyone\n\rto use with no log in required. It includes a collection of matrix problems and an elementary\n\rtransformation applying tool. The following four problem types are supported: finding a\n\rdeterminant, finding an inverse matrix, solving a system of linear equations and finding a rank. The\n\rsolver must still decide, using a series of elementary transformations, how to reach a proper form\n\rfor given matrix. However applying the elementary transformation, by algorithmically micromanaging\n\rthe contents of a matrix (in this case, numbers) is not required.